The integrating factor of the differenti

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The integrating factor of the differential equation (dy/dx) + 2y = sinx is-

Options:

e^4x

e^5x

-e^4x

e^2x

Correct Answer:

e^2x

Explanation:

The given differential equation is

(dy/dx) + 2y = sinx

This equation is of the form dy/dx +py =Q (where p= 2 and Q = sin x)

Now, I.F. = e^∫pdx

so, I.F. = e^∫2dx

hence I.F. = e^2x